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Finding the Fourth Proportional to 457,948.71, 686,879.33 and 280,364.31

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Solution

The fourth proportional to 457,948.71, 686,879.33 and 280,364.31 is: 420,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,948.71 : 686,879.33 = 280,364.31 : x
  2. Step 2: Convert to fraction form
    457,948.71/686,879.33 = 280,364.31/x
  3. Step 3: Cross multiply
    457,948.71x = 686,879.33 × 280,364.31
  4. Step 4: Simplify right side
    457,948.71x = 192,576,448,006.89
  5. Step 5: Solve for x
    x = 192,576,448,006.89/457,948.71
  6. Step 6: Final answer
    x = 420,519.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.